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The L.C.M. of two numbers is 20 times their H.C.F. The sum of H.C.F. and L.C.M. is 2520. If one of the number is 480, the other number is :
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- 400
- 480
- 520
- 600
Correct Option: D
Let the H.C.F. be H.
According to question ,
∴ L.C.M. = 20H
and H + 20H = 2520
⇒ 21 H = 2520
| ⇒ H = | = 120 | 21 |
∴ L.C.M. = 20H = 20 × 120 = 2400
We can find the Second number with the help of given formula ,
First number × Second number = L.C.M. × H.C.F.
⇒ 480 × Second number = 2400 × 120
| ⇒ Second number = | = 600 | 480 |
